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- Write a program that takes as input five numbers and outputs the mean (average) and standard deviation of the numbers. If the numbers are x1,x2,x3,x4,andx5, then the mean is x=(x1+x2+x3+x4+x5)/5 and the standard deviation is: s=(x1x)2+(x2x)2+(x3x)2+(x4x2)+(x5x2)5 Your program must contain at least the following functions: a function that calculates and returns the mean and a function that calculates the standard deviation.Write the definition of a function that takes as input two decimal numbers and returns first number to the power of the second number plus second number to the power of the first number. (4)Write a function that takes a positive integer num and calculates how many dots exist in a pentagonal shape around the center dot on the Nth iteration. In the image below you can see the first iteration is only a single dot. On the second, there are 6 dots. On the third, there are 16 dots, and on the fourth there are 31 dots. Return the number of dots that exist in the whole pentagon on the Nth iteration. Examples pentagonal (1) → 1 pentagonal (2) <-6 pentagonal (3) - 16 pentagonal (8) → 141
- Write a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd”Write a function that takes two integers and returns True if the integers have a common divisor that is different than 1, otherwise returns False. For example, notRelPrime(3,5) returns False, whereas notRelPrime(8,12) returnsTrue. Because, 3 and 5 have only one common divisor, which is 1, whereas 8 and 12 are both divisible by 1, 2 and 4.program demonstrates how this function works.
- A prime number is a number that is only evenly divisible by itself and 1. For example, the number 5 is prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6. Design a Boolean function called isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise. Use the function in a program that prompts the user to enter a number and then displays a message indicating whether the number is prime. The following modules should be written: getNumber, that accepts a Ref to an integer, prompts the user to enter a number, and accepts that input isPrime, that accepts an integer as an argument and returns True if the argument is a prime number, or False otherwise showPrime, that accepts an integer as an argument , calls isPrime, and displays a message indicating whether the number is prime The main module, that will call getNumber and showPrimeWrite a function that takes two integers and returns True if the integers have a common divisor that is different than 1, otherwise returns False. For example, notRelPrime(3,5) returns False, whereas notRelPrime (8,12) returns True. Because, 3 and 5 have only one common divisor, which is 1, whereas 8 and 12 are both divisible by 1, 2 and 4. def notRelPrime (a, b):Write a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd” please you use python
- Write a program that inputs 10 integers from the user and passes them one at a time to the function isEven, which returns true if the integer is even and false otherwise. The program should print whether each of the integers is even or not. (Note: the program needs to write the function using a function prototype).Write a program that inputs 10 integers from the user and passes them one at a time to the function isEven, which returns true if the integer is even and false otherwise. The program should print whether each of the integers is even or not.Write a function that determines whether an exam score is valid. The function should return True if the exam score is valid, False otherwise. Use the function in a program that prompts for an exam score and prints "Valid" or "Not valid". Valid exam scores are between 0 and 100. Ex: If the input is: 82 the output is: Valid Ex: If the input is: 101 the output is: Not Valid Your program must define and call the following function. The function must return a bool value (True or False). The function should not print the result. def is_valid_score(score) python